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Class CH.epfl.lcvm.mccc.ContinuationPseudoArclength 

java.lang.Object
   |
   +----CH.epfl.lcvm.mccc.ContinuationPseudoArclength
public class ContinuationPseudoArclength
extends Object
implements Continuation1D
A class which defines a PseudoArclength parameter continuation method. Basically a tangent to the solution curve is computed and then a root solver is called on a Function which is restricted to lay in a co-dimension one surface which is orthogonal to the tangent direction.

Constructor Index

o ContinuationPseudoArclength(Function)
Creates a pseudo arclength continuation object for the given function

Method Index

o goToTarget(double)
Take steps until the target s value has been reached
o main(String[])
Exercise the class by trying the various functions
o setStepSize(double)
Sets the initial step size for the continuation method
o start(Matrix, int)
Start the continuation and take one step
o step()
Take one step in the current direction.

Constructors

o ContinuationPseudoArclength 
 public ContinuationPseudoArclength(Function func)
Creates a pseudo arclength continuation object for the given function

Parameters:
func - The function to continue

Methods

o start 
 public Matrix start(Matrix value,
                     int param_index) throws MCCCException
Start the continuation and take one step

Parameters:
value - Initial value to the solver
param_index - The index of the component to continue in
Returns:
the value of the equations after the step
Throws: MCCCException
In case the method doesn't converge it throws this exception
o step 
 public Matrix step() throws MCCCException
Take one step in the current direction.

Returns:
the value of the equations after the step
Throws: MCCCException
In case the method doesn't converge it throws this exception
o goToTarget 
 public Matrix goToTarget(double target) throws MCCCException
Take steps until the target s value has been reached

Parameters:
target - The target s value
Throws: MCCCException
In case the method doesn't converge it throws this exception
o setStepSize 
 public void setStepSize(double stepSize)
Sets the initial step size for the continuation method

Parameters:
stepSize - The initial stepsize
o main 
 public static void main(String argv[]) throws MCCCException
Exercise the class by trying the various functions

Throws: MCCCException
In case something fails in the test harness it throws this exception. 
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